This paper deals with the categories of direct and inverse countable spectra of locally
convex spaces and with the functors of inductive and projective limits defined on these …

This book gives a concise exposition of the fundamentals of the theory of topological vector
spaces, complemented by a survey of the most important results of a more subtle nature …

Publisher Summary This chapter discusses acyclic and weakly acyclic (L, F)-spaces from the
viewpoint of Palamodov and describes the implications between these properties and …

We provide new characterizations of acyclic inductive spectra of Fréchet spaces which
improve the classical theorem of Palamodov and Retakh. It turns out that acyclicity …

The paper first gives a new introduction to Palamodov's theory of the projective limit functor
avoiding categorical and abstract homological concepts. Then Retakh's condition for projl …

In this article we give a homological characterization of the topology of Stein spaces over
any valued base field. In particular, when working over the field of complex numbers, we …

Publisher Summary This chapter discusses some aspects of the theory of locally convex
inductive limits. Since the beginning of the theory of locally convex spaces, a main device …

In this monograph, time-varying vector fields on manifolds are considered with measurable
time dependence and with varying degrees of regularity in state; eg, Lipschitz, finitely …

This is a paper version of my presentation at Winter School in Complex Analysis and
Operator Theory, Valencia February 2010. A real analytic function (ie, possibly complex …

The following results are presented: 1) a characterization through the Liouville property of
those Stein manifolds U such that every germ of holomorphic functions on ℝ x U can be …